Total number of students (male and female) in the college=2760. Total number of students including both male and female represents 100% (percentage) of students which is equal to 2760 number.
Number of male students is 65% (percentage) which is equal to [tex]\frac{2760X65}{100}[/tex]= 1794. So, total number of female students are (100-65)%=35% (percentage) which is equal to [tex]\frac{2760X35}{100}[/tex]=966 numbers.